2517164021 has 6 divisors (see below), whose sum is σ = 2520665910. Its totient is φ = 2513666408.

The previous prime is 2517163997. The next prime is 2517164029. The reversal of 2517164021 is 1204617152.

It can be written as a sum of positive squares in only one way, i.e., 1756783396 + 760380625 = 41914^2 + 27575^2 .

It is not a de Polignac number, because 2517164021 - 2¹⁴ = 2517147637 is a prime.

It is a super-2 number, since 2×2517164021² = 12672229417233776882, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2517164029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1215575 + ... + 1217643.

It is an arithmetic number, because the mean of its divisors is an integer number (420110985).

Almost surely, 2^2517164021 is an apocalyptic number.

It is an amenable number.

2517164021 is a deficient number, since it is larger than the sum of its proper divisors (3501889).

2517164021 is an frugal number, since it uses more digits than its factorization.

2517164021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 2517164021 is about 50171.3466133808. The cubic root of 2517164021 is about 1360.3077484425.

The spelling of 2517164021 in words is "two billion, five hundred seventeen million, one hundred sixty-four thousand, twenty-one".